What is the Greatest Common Factor of 3066 and 3078?

Greatest common factor (GCF) of 3066 and 3078 is 6.

GCF(3066,3078) = 6

We will now calculate the prime factors of 3066 and 3078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3066 and 3078.

How to find the GCF of 3066 and 3078?

We will first find the prime factorization of 3066 and 3078. After we will calculate the factors of 3066 and 3078 and find the biggest common factor number .

Step-1: Prime Factorization of 3066

Prime factors of 3066 are 2, 3, 7, 73. Prime factorization of 3066 in exponential form is:

3066 = 2¹ × 3¹ × 7¹ × 73¹

Step-2: Prime Factorization of 3078

Prime factors of 3078 are 2, 3, 19. Prime factorization of 3078 in exponential form is:

3078 = 2¹ × 3⁴ × 19¹

Step-3: Factors of 3066

List of positive integer factors of 3066 that divides 3066 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533

Step-4: Factors of 3078

List of positive integer factors of 3078 that divides 3066 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 342, 513, 1026, 1539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3066 and 3078. The biggest common factor number is the GCF number.
So the greatest common factor 3066 and 3078 is 6.

Also check out the Least Common Multiple of 3066 and 3078